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Finding the Fourth Proportional to 292,335, 403,422.84 and 158,199

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Solution

The fourth proportional to 292,335, 403,422.84 and 158,199 is: 218,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,335 : 403,422.84 = 158,199 : x
  2. Step 2: Convert to fraction form
    292,335/403,422.84 = 158,199/x
  3. Step 3: Cross multiply
    292,335x = 403,422.84 × 158,199
  4. Step 4: Simplify right side
    292,335x = 63,821,089,865.16
  5. Step 5: Solve for x
    x = 63,821,089,865.16/292,335
  6. Step 6: Final answer
    x = 218,314.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.